Viewing other problems with insights similar to only this insight from Codeforces 1857F: Sum and Product:
With restrictions on sum and product, we can calculate the values of the pair using Viete's formula. Count the number of pairs that satisfy using simple combinatorics. by Koyote
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Codeforces 1863B: Split Sort
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2022 AMC 12B Problem 3
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- If product of roots is the constant term in a quadratic (with leading coefficient as 1), implies that "the roots of a quadratic are one of the factor-pairs of the constant term". When the constant term is integer, this is especially simple to apply. by SXZZ5
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2022 AMC 10B Problem 7
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- Try using the Vieta's formulas. by Richie
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